Physics · JEE Main
Experimental Physics
70 practice questions with a worked solution for each. Tap an option to see instantly if you are right.
58MCQ12Numerical9With diagram
- 1In a screw gauge when the circular scale is given five complete rotations it moves linearly by mm. If the circular scale has divisions, the least count of screw gauge is _____ mm.JEE Main/MCQ/Medium/Experimental Physics
- 2In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There are divisions in circular scale and pitch of screw gauge is mm. When diameter of a sphere is measured, the reading of main scale is mm and division of circular scale coincides with the reference line of main scale. The diameter of sphere is _______ mm.JEE Main/MCQ/Medium/Experimental Physics
- 3In an experiment, a set of reading are obtained as follows - , 1.21 mm. The expected least count of the instrument used in recording these readings is mm.JEE Main/MCQ/Medium/Experimental Physics
- 4When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark of main scale, mark on vernier scale coincides with certain mark on the main scale. While measuring the length of a cylinder, observer observes 15 divisions on main scale and division of vernier scale coincides with a main scale division. Measured length of cylinder is mm.
(Least count of Vernier calliper )JEE Main/MCQ/Medium/Experimental Physics - 5In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division , then the least count of the vernier callipers is mm.JEE Main/MCQ/Medium/Experimental Physics
- 6In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measured. If pitch scale reading is 1 mm and the circular scale reading is 51 then the correct thickness of the sheet is mm.
[Assume least count is 0.01 mm ]JEE Main/MCQ/Medium/Experimental Physics - 7For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm) :JEE Main/MCQ/Medium/Experimental Physics
- 8A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be where is _________.JEE Main/Numerical/Medium/Experimental Physics
- 9The least count of a screw guage is 0.01 mm . If the pitch is increased by and number of divisions on the circular scale is reduced by , the new least count will be _____ JEE Main/Numerical/Medium/Experimental Physics
- 10Given below are two statements :
Statement I : In a vernier callipers, one vernier scale division is always smaller than one main scale division.
Statement II : The vernier constant is given by one main scale division multiplied by the number of vernier scale divisions.
In the light of the above statements, choose the correct answer from the options given below.JEE Main/MCQ/Medium/Experimental Physics - 11One main scale division of a vernier caliper is equal to units. If division of main scale coincides with division of vernier scale, the least count of the vernier caliper is :JEE Main/MCQ/Medium/Experimental Physics
- 12There are 100 divisions on the circular scale of a screw gauge of pitch . With no measuring quantity in between the jaws, the zero of the circular scale lies 5 divisions below the reference line. The diameter of a wire is then measured using this screw gauge. It is found that 4 linear scale divisions are clearly visible while 60 divisions on circular scale coincide with the reference line. The diameter of the wire is :JEE Main/MCQ/Medium/Experimental Physics
- 13Least count of a vernier caliper is . The value of one division on the main scale is . Then the number of divisions of main scale that coincide with divisions of vernier scale is :JEE Main/MCQ/Medium/Experimental Physics
- 14The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale. The shortest division on the main scale is equal to . The main scale reading is and second division of vernier scale coincides with a division on main scale. If mass of the sphere is 8.635 g, the density of the sphere is:JEE Main/MCQ/Medium/Experimental Physics
- 15In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its division coincides exactly with a certain division on main scale. If 50 vernier scale divisions equal to 49 main scale divisions and zero error in the instrument is then how many main scale divisions are there in ?JEE Main/MCQ/Medium/Experimental Physics
- 16While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is and circular scale reading is equal to 42 divisions. Pitch of screw gauge is and it has 100 divisions on circular scale. The diameter of the wire is . The value of is :JEE Main/MCQ/Medium/Experimental Physics
- 17A vernier callipers has 20 divisions on the vernier scale, which coincides with division on the main scale. The least count of the instrument is . One main scale division is equal to _____.JEE Main/MCQ/Medium/Experimental Physics
- 18 divisions on the main scale of a Vernier calliper coincide with divisions on the Vernier scale. If each division on the main scale is of units, the least count of the instrument is :JEE Main/MCQ/Medium/Experimental Physics
- 19The measured value of the length of a simple pendulum is with accuracy. The time for oscillations was measured to be seconds with second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is . The value of is:JEE Main/MCQ/Medium/Experimental Physics
- 20If Vernier divisions are equal to main scale divisions of a travelling microscope and one smallest reading of main scale is the Vernier constant of travelling microscope is:JEE Main/MCQ/Medium/Experimental Physics
- 21Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R).
Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.
In the light of the above statements, choose the correct answer from the options given below :JEE Main/MCQ/Medium/Experimental Physics - 22Identify the physical quantity that cannot be measured using spherometer :JEE Main/MCQ/Medium/Experimental Physics
- 23In an experiment with vernier callipers of least count , when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between and marks and division of vernier scale coincides with the main scale division. The diameter of bob is measured asJEE Main/MCQ/Medium/Experimental Physics
- 24In a screw gauge, there are divisions on the circular scale and the main scale moves by on a complete rotation of the circular scale. The zero of circular scale lies divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, linear scale divisions are clearly visible while 46th division the circular scale coincide with the reference line. The diameter of the wire is ______ JEE Main/Numerical/Medium/Experimental Physics
- 25When two resistance and connected in series and introduced into the left gap of a meter bridge and a resistance of is introduced into the right gap, a null point is found at from left side. When and are connected in parallel and introduced into the left gap, a resistance of is introduced into the right-gap to get null point at from left end. The product of is ______ JEE Main/Numerical/Medium/Experimental Physics
- 26In a metre bridge experiment the balance point is obtained if the gaps are closed by and . A shunt of is added to resistor to shift the balancing point by . The value of is ______.JEE Main/Numerical/Medium/Experimental Physics
- 27In an experiment to find out the diameter of wire using screw gauge, the following observation were noted:

(a) Screw moves on main scale in one complete rotation
(b) Total divisions on circular scale
(c) Main scale reading is
(d) division of circular scale is in the pitch line
(e) Instrument has negative error Then the diameter of wire is :JEE Main/MCQ/Medium/Experimental Physics/With diagram - 28A travelling microscope has divisions per on the main scale while its Vernier scale has total divisions and Vernier scale divisions are equal to main scale divisions, what is the least count of the travelling microscope ?JEE Main/MCQ/Medium/Experimental Physics
- 29The one division of main scale of vernier callipers reads and divisions of Vernier scale is equal to the divisions on main scale. When the two jaws of the instrument touch each other the zero of the Vernier lies to the right of zero of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the zero of the Vernier scale lies in between and and Vernier division coincides with a main scale division. The diameter of the bob will be _____ .JEE Main/Numerical/Medium/Experimental Physics
- 30In a Vernier Caliper divisions of Vernier scale is equal to the divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to . While measuring diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between and divisions of main scale reading and Vernier scale division exactly. coincides with the main scale reading. The diameter of the spherical body will be:JEE Main/MCQ/Medium/Experimental Physics
- 31A screw gauge of pitch is used to measure the diameter of uniform wire of length , the main scale reading is and circular scale reading is . The calculated curved surface area of wire to appropriate significant figures is
[Screw gauge has divisions on the circular scale]JEE Main/MCQ/Medium/Experimental Physics - 32The Vernier constant of Vernier callipers is and it has zero error of . While measuring diameter of a sphere, the main scale reading is and coinciding vernier division is . The corrected diameter will be _____.JEE Main/Numerical/Medium/Experimental Physics
- 33A student in the laboratory measures thickness of a wire using screw gauge. The readings are and . The percentage error is . The value of is _____ .JEE Main/Numerical/Medium/Experimental Physics
- 34A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in on main scale and Vernier scale divisions are equal to main scale divisions, then least count of the travelling microscope is _____ .JEE Main/Numerical/Medium/Experimental Physics
- 35In a vernier callipers, each on the main scale is divided into equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _____ JEE Main/Numerical/Medium/Experimental Physics
- 36The diameter of a spherical bob is measured using a vernier callipers. divisions of the main scale, in the vernier callipers, are equal to divisions of vernier scale. One main scale division is The main scale reading is and division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of then the radius of the bob is _____________ JEE Main/Numerical/Medium/Experimental Physics
- 37In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are divisions on the circular scale, and the main scale moves by on a complete rotation. For a particular observation the reading on the main scale is and the division of the circular scale coincides with reference line. Calculate the true reading.JEE Main/MCQ/Medium/Experimental Physics
- 38 If in five complete rotations of the circular scale, the distance travelled on the main scale of the screw gauge is and there are total divisions on a circular scale, then the least count is
Least Count
In the light of the above statements, choose the most appropriate answer from the options given below.JEE Main/MCQ/Medium/Experimental Physics - 39Student and student used two screw gauges of equal pitch and equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is . The absolute value of the difference between the final circular scale readings observed by the students and is _______.
[Figure shows position of reference when jaws of screw gauge are closed]
Given pitch .
JEE Main/Numerical/Medium/Experimental Physics/With diagram - 40The vernier scale used for measurement has a positive zero error of If while taking a measurement it was noted that on the vernier scale lies between and . Vernier coincidence is then the correct value of measurement is
(least count)JEE Main/MCQ/Medium/Experimental Physics - 41One main scale division of a vernier callipers is and division of the vernier scale coincide with division of the main scale. The least count of the callipers in is :JEE Main/MCQ/Medium/Experimental Physics
- 42The pitch of the screw gauge is and there are divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while division on circular scale coincides with the reference line. The radius of the wire isJEE Main/MCQ/Medium/Experimental Physics
- 43A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings , , , . The average of these four reading is and the standard deviation of the data is . The average diameter of the pencil should therefore be recorded as :JEE Main/MCQ/Medium/Experimental Physics
- 44A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of is noticed on the pitch scale. The nature of zero error involved and the lest count of the screw gauge, are respectively:JEE Main/MCQ/Medium/Experimental Physics
- 45Using screw gauge of pitch and divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as,JEE Main/MCQ/Medium/Experimental Physics
- 46The least count of the main scale of a vernier calipers is . Its vernier scale is divided into divisions and coincide with divisions of the main scale. When jaws are touching each other, the division of the vernier scale coincides with a division of the main scale and the zero of vernier scale is lying right side of the zero of the main scale. When this vernier is used to measure the length of the cylinder the zero of the vernier scale between and and VSD coincides with the main scale division. The length of the cylinder is (VSD is vernier scale division)JEE Main/MCQ/Medium/Experimental Physics
- 47If the screw on a screw-gauge is given six rotations, it moves by on the main scale. If there are divisions on the circular scale the least count of the screw gauge is:JEE Main/MCQ/Medium/Experimental Physics
- 48A tunning fork of frequency is used in an experiment for measuring speed of sound in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, and Then, is equal to:JEE Main/MCQ/Medium/Experimental Physics
- 49In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure.
S. No.
1.
2.
3.
4.
Which of the reading is inconsistent?JEE Main/MCQ/Medium/Experimental Physics/With diagram - 50A load of mass is suspended from a steel wire of length and radius in Searle's apparatus experiment. The increase in length produced in the wire is Now the load is fully immersed in a liquid of relative density The relative density of the material of load is The new value of increase in length of the steel wire is:JEE Main/MCQ/Medium/Experimental Physics
- 51In a meter bridge, the wire of length has a non-uniform cross-section such that, the variation of its resistance with length is Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point What is the length
JEE Main/MCQ/Medium/Experimental Physics/With diagram - 52The least count of the main scale of a screw gauge is The minimum number of divisions on its circular scale required to measure diameter of a wire is:JEE Main/MCQ/Medium/Experimental Physics
- 53In the experimental set up of metre bridge shown in the figure, the null point is obtaine data distance of from
A. If a resistor is connected in series with the null point shifts by . The resistance that should be connected in parallel with such that the null point shifts back to its initial position is
JEE Main/MCQ/Medium/Experimental Physics/With diagram - 54The resistance of the meter bridge AB in given figure is . With a cell of emf and rheostat resistance the null point is obtained at some point J. When the cell is replaced by another one of emf the same null point is found for . The is:
JEE Main/MCQ/Medium/Experimental Physics/With diagram - 55A potentiometer wire having length and resistance is joined to a cell of emf and internal resistance . A cell having EMF and internal resistance is connected. The length , at which the galvanometer, as shown in the figure, shows no deflection is
JEE Main/MCQ/Medium/Experimental Physics/With diagram - 56The pitch and the number of divisions, on the circular scale, for a given screw gauge are and respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies divisions below the mean line.
The readings of the main scale and the circular scale, for a thin sheet, are and respectively, the thickness of this sheet is:JEE Main/MCQ/Medium/Experimental Physics - 57In a screw gauge, complete rotations of the screw cause it to move a linear distance of . There are circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of main scale divisions and circular scale divisions. Assuming negligible error, the thickness of the wire isJEE Main/MCQ/Medium/Experimental Physics
- 58In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of . There are 100 circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of 4 main scale divisions and 30 circular scale divisions. Assuming negligible zero error, the thickness of the wire is:JEE Main/MCQ/Medium/Experimental Physics
- 59A screw gauge with a pitch of and a circular scale with divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is and the division coincides with the main scale line?JEE Main/MCQ/Medium/Experimental Physics
- 60Diameter of a steel ball is measured using a Vernier calipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its Vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as:
S.No.
MS (cm)
VS divisions
1.
0.5
8
2.
0.5
4
3.
0.5
6
If the zero error is - 0.03 cm, then mean corrected diameter is:JEE Main/MCQ/Medium/Experimental Physics - 61

In an experiment to determine the gravitational acceleration of a place with the help of a simple pendulum, the measured time period squared is plotted against the string length of the pendulum in the figure. What is the value of at the place?JEE Main/MCQ/Medium/Experimental Physics/With diagram - 62A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?JEE Main/MCQ/Medium/Experimental Physics
- 63Correct set up to verify Ohm's law is :JEE Main/MCQ/Medium/Experimental Physics
- 64 divisions on the main scale of a vernier calliper coincide with divisions of the vernier scale. If each division of main scale is ' ' units, then the least count of the instrument isJEE Main/MCQ/Medium/Experimental Physics
- 65A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading: degree
Vernier scale reading : divisions
Given that division on main scale corresponds to degree. Total divisions on the vernier scale is and match with divisions of the main scale. The angle of the prism from the above dataJEE Main/MCQ/Medium/Experimental Physics - 66A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading :
Circular scale reading : 52 divisions
Given that on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above date is :JEE Main/MCQ/Medium/Experimental Physics - 67In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree , then the least count of the instrument isJEE Main/MCQ/Medium/Experimental Physics
- 68Two full turns of the circular scale of a screw gauge cover a distance of on its main scale. The total number of divisions on the circular scale is 50 . Further, it is found that the screw gauge has a zero error of while measuring the diameter of a thin wire, a student notes the main scale reading of and the number of circular scale divisions in line with the main scale as 35 . The diameter of the wire isJEE Main/MCQ/Medium/Experimental Physics
- 69Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.

The value of the unknown resistor isJEE Main/MCQ/Medium/Experimental Physics/With diagram - 70In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and Vernier division coincides with a main scale reading. If the value of main scale division is mm and there are Vernier scale divisions, then the Vernier caliper hasJEE Main/MCQ/Medium/Vernier Callipers
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